The nature of my inquiry has to do with my work on partisan economic models and automata, and the need to align human and algorithmic intelligence from a moral perspective. To this end, I'm starting with the simplest axioms.
With the understanding that my assumptions may be flawed (leading to this question) it seems to me that the two following examples are algorithmic extensions of the maxim "moderation in all things":
Simple "maximization" and "minimization" are strategies, but not optimal because they only account for a single vector in a two dimensional model; maximax is worse because that it acknowledges downside without seek to mitigate, while minimin borders on the absurd in approaching the question backwards; minimax and maximin are sound, and demonstrably so in an increasing number of contexts. The mechanics of minimax are moderation (as in hedging, mitigation, etc.) as an optimal strategy.
Binary search is a method for optimizing search by going to the middle of an array, and continuing to halve it until the it achieves the desired result. This is literal take on moderation--always choosing the center as an optimization strategy.
The idea I'm drawing from comes from the Temple of Apollo at Delphi:
"Nothing in excess"